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Finding the Third Proportional to 133,116 and 293,010

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Solution

The third proportional to 133,116 and 293,010 is: 644,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,116 : 293,010 = 293,010 : x
  2. Step 2: Convert to fraction form
    133,116/293,010 = 293,010/x
  3. Step 3: Cross multiply
    133,116x = 293,010 × 293,010
  4. Step 4: Simplify right side
    133,116x = 85,854,860,100
  5. Step 5: Solve for x
    x = 85,854,860,100/133,116
  6. Step 6: Final answer
    x = 644,962.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.